Given are five observations for two variables, and y. Excel File: data14-25.xlsx xi Yi 0.9726 2 7 The estimated regression equation is ý = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 6 9 18 9 26 13 20 23
Given are five observations for two variables, and y. Excel File: data14-25.xlsx xi Yi 0.9726 2 7 The estimated regression equation is ý = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 6 9 18 9 26 13 20 23
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 22PFA
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Question
![Given are five observations for two variables, and y.
Excel File: data14-25.xlsx
The estimated regression equation is ŷ = 7.6 +0.9x.
a. What is the value of the standard error of the estimate (to 4 decimals)?
0.9726
b. Test for a significant relationship by using the t test. Use a = 0.05.
What is the value of the t test statistic (to 2 decimals)?
1.90
What is the p-value? Use Table 2 of Appendix B.
between 0.10 and 0.20
What is your conclusion (a = 0.05)?
Xj
Yi
Cannot conclude a significant relationship exists between x and y
c. Use the F test to test for a significant relationship. Use a = 0.05.
Compute the value of the F test statistic (to 2 decimals).
3.63
What is the p-value? Use Table 4 of Appendix B.
greater than 0.10
What is your conclusion?
Cannot conclude a significant relationship exists between x and y
2
7
6
18
9 13
9
20
26 23](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae4e03ad-1db0-4d1e-933d-21faad72002f%2Fea11a313-88ba-4153-9a80-c842c1b1a09c%2Frmbo6wp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given are five observations for two variables, and y.
Excel File: data14-25.xlsx
The estimated regression equation is ŷ = 7.6 +0.9x.
a. What is the value of the standard error of the estimate (to 4 decimals)?
0.9726
b. Test for a significant relationship by using the t test. Use a = 0.05.
What is the value of the t test statistic (to 2 decimals)?
1.90
What is the p-value? Use Table 2 of Appendix B.
between 0.10 and 0.20
What is your conclusion (a = 0.05)?
Xj
Yi
Cannot conclude a significant relationship exists between x and y
c. Use the F test to test for a significant relationship. Use a = 0.05.
Compute the value of the F test statistic (to 2 decimals).
3.63
What is the p-value? Use Table 4 of Appendix B.
greater than 0.10
What is your conclusion?
Cannot conclude a significant relationship exists between x and y
2
7
6
18
9 13
9
20
26 23
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